L1 ⚛ L1-142 ⊙ Testnet

Brillouin Microscopy (acousto-optic inelastic scattering)

Spectroscopy · Mechanical-property hyperspectral microscopy

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⬇ L1-142.md

# ⚛ L1 Principle — Brillouin Microscopy (acousto-optic inelastic scattering) **ID:** `L1-142` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Spectroscopy — *Mechanical-property hyperspectral microscopy* > **🎯 Problem class:** parametric spectral fit · **🧮 Solution space:** elastic modulus map > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554227 --- ## 🧠 1. Introduction **Brillouin Microscopy (acousto-optic inelastic scattering)** is a **parametric spectral fit** whose unknown lives in **elastic modulus map** space, within the **Mechanical-property hyperspectral microscopy** sub-domain of **Spectroscopy**. Measurements consist of photons collected by an optical detector via a **acoustic phonon inelastic** sensing mechanism. The forward operator applies, in order: S · scatter · inelastic operator; L · disperse · spectral operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. Lorentzian peak fitting well-posed at SNR > 10 dB; multi-component mixing requires broader-peak modeling. Mismatch: elastic anisotropy, thermal drift, refractive-index uncertainty. ## ⚙ 2. Forward Model Physical chain: **x** → S · scatter · inelastic → L · disperse · spectral → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.disperse.spectral` `S.scatter.inelastic` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `S.scatter.inelastic` | S · scatter · inelastic operator | | `L.disperse.spectral` | L · disperse · spectral operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Spectroscopy | | Sub domain | Mechanical-property hyperspectral microscopy | | Carrier | photon | | Problem class | parametric_spectral_fit | | Solution space | elastic_modulus_map | | Noise model | shot_poisson | | Integration axis | spectral_and_temporal | | Difficulty delta | 3 | | L dag | 2.7 | ## 📡 4. Measurement Model Lorentzian peak fitting well-posed at SNR > 10 dB; multi-component mixing requires broader-peak modeling. Mismatch: elastic anisotropy, thermal drift, refractive-index uncertainty. | Metric | Value | |---|---| | Metric | frequency_RMSE_MHz | | Secondary | modulus_NMSE | ## 📏 5. Operating Range (Ω) **Center problem class:** `brillouin_peak_fitting` · **Forward operator:** `brillouin_backscatter` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 128 | | W | px | 128 | | Z | — | 64 | | N f | — | 200 | | Tau ms | ms | 100 | | Lambda nm | nm | 532 | | Thermal drift | — | 0 | | Refractive index uncertainty | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 32 – 1024 | | W | px | 32 – 1024 | | Z | — | 1 – 256 | | N f | — | 50 – 1024 | | Tau ms | ms | 1 – 10000 | | Anisotropy | — | 0.0 – 0.2 | | Thermal drift | — | 0.0 – 0.1 | | Rayleigh leakage | — | 0.0 – 0.5 | | Spectrometer drift | — | 0.0 – 50 | | Refractive index uncertainty | — | 0.0 – 0.05 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 20 MHz RMSE | Metric | Range | |---|---| | Freq rmse mhz | 1 – 500 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **frequency_RMSE_MHz**, with κ = `100` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x862b2ac5fe4e69738b13b23d1697c64ac12a0caabc7ac29ccd6db3dd3f47ee72` - **Chain tx hash:** `0x9011b9005ac81fdf6b1e064034c870b05cc840caa497eb328e5e2baa8c071fd5` - **Chain block:** `41554227` --- ## File Mapping This bundle consists of: `L1-142.md`, `L1-142.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-142.md` | Source of truth — edit this | Human or LLM | | `L1-142.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-142`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Regenerate L1-142.json so every field matches the Markdown.
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L2-142-001 Brillouin Microscopy Peak-Fitting Spec

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📋 JSON metadata

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  "artifact_id": "L1-142",
  "chain_block": 41554227,
  "chain_hash": "0x862b2ac5fe4e69738b13b23d1697c64ac12a0caabc7ac29ccd6db3dd3f47ee72",
  "chain_tx_hash": "0x9011b9005ac81fdf6b1e064034c870b05cc840caa497eb328e5e2baa8c071fd5",
  "domain": "Spectroscopy",
  "hardness_fn": {
    "delta": 3,
    "kappa": 100,
    "metric": "frequency_RMSE_MHz",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "frequency_RMSE_MHz",
    "regime": "Lorentzian peak fitting well-posed at SNR \u003e 10 dB; multi-component mixing requires broader-peak modeling. Mismatch: elastic anisotropy, thermal drift, refractive-index uncertainty.",
    "secondary": "modulus_NMSE"
  },
  "physics_fingerprint": {
    "L_DAG": 2.7,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Spectroscopy",
    "integration_axis": "spectral_and_temporal",
    "noise_model": "shot_poisson",
    "primitives": [
      "S.scatter.inelastic",
      "L.disperse.spectral",
      "int.temporal"
    ],
    "problem_class": "parametric_spectral_fit",
    "sensing_mechanism": "acoustic_phonon_inelastic",
    "solution_space": "elastic_modulus_map",
    "sub_domain": "Mechanical-property hyperspectral microscopy",
    "title": "Brillouin Microscopy (acousto-optic inelastic scattering)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "brillouin_backscatter",
      "brillouin_sideview"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "Z",
      "N_f",
      "tau_ms",
      "lambda_nm",
      "refractive_index_uncertainty",
      "thermal_drift",
      "anisotropy",
      "rayleigh_leakage",
      "spectrometer_drift"
    ],
    "allowed_problem_classes": [
      "brillouin_peak_fitting",
      "brillouin_mixing_modulus",
      "line_scan_brillouin"
    ],
    "center_spec": {
      "epsilon_fn_center": "20 MHz RMSE",
      "forward_operator": "brillouin_backscatter",
      "input_format": "spectral_hypercube",
      "omega": {
        "H": 128,
        "N_f": 200,
        "W": 128,
        "Z": 64,
        "lambda_nm": 532,
        "refractive_index_uncertainty": 0.0,
        "tau_ms": 100,
        "thermal_drift": 0.0
      },
      "problem_class": "brillouin_peak_fitting"
    },
    "epsilon_bounds": {
      "freq_rmse_mhz": [
        1,
        500
      ]
    },
    "omega_bounds": {
      "H": [
        32,
        1024
      ],
      "N_f": [
        50,
        1024
      ],
      "W": [
        32,
        1024
      ],
      "Z": [
        1,
        256
      ],
      "anisotropy": [
        0.0,
        0.2
      ],
      "rayleigh_leakage": [
        0.0,
        0.5
      ],
      "refractive_index_uncertainty": [
        0.0,
        0.05
      ],
      "spectrometer_drift": [
        0.0,
        50
      ],
      "tau_ms": [
        1,
        10000
      ],
      "thermal_drift": [
        0.0,
        0.1
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Mechanical-property hyperspectral microscopy",
  "title": "Brillouin Microscopy (acousto-optic inelastic scattering)"
}

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